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Mathematics for Data Science I, Quiz 2

May 2023 term, 6 Aug 2023, Set QPF2

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Figure from the original question paper Figure from the original question paper Consider the following functions $f_1 : D_1 \to \mathbb{R}$, $f_2 : D_2 \to \mathbb{R}$, $f_3 : D_3 \to \mathbb{R}$ and $g : D \to \mathbb{R}$, defined as: - $f_1(x) = \sin 2x$. - $f_2(x) = \ln(x^2 - 6x + 8)$. - $f_3(x) = e^{3x} + 5$. - $g(x) = f_1(x) + f_2(x) + f_3(x)$. Let $D_1, D_2, D_3$ and $D$ be the (largest) domains of the functions $f_1(x), f_2(x), f_3(x)$ and $g(x)$, respectively. Use this information to answer the subquestions. Which of the following options is/are true?